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Oct 24th, 2025
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  1. Fri Oct 24 11:28:08 2025
  2. Fri Oct 24 11:28:08 2025
  3. Fri Oct 24 11:28:08 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Oct 24 11:28:08 2025 random seeds: 5a9bde46 e3d6d602
  5. Fri Oct 24 11:28:08 2025 factoring 4752208103460581129180794016983942875762508924831970142702975348169614319473131722586702767655555564840678146641526139662450502637984740245465365390827544155766182579687932457332203411722058923261760397277859892889 (214 digits)
  6. Fri Oct 24 11:28:09 2025 searching for 15-digit factors
  7. Fri Oct 24 11:28:10 2025 commencing number field sieve (214-digit input)
  8. Fri Oct 24 11:28:10 2025 R0: 30241625879631323162875622209103440379840045402
  9. Fri Oct 24 11:28:10 2025 R1: -173901195739509862528549
  10. Fri Oct 24 11:28:10 2025 A0: 1
  11. Fri Oct 24 11:28:10 2025 A1: 3
  12. Fri Oct 24 11:28:10 2025 A2: -3
  13. Fri Oct 24 11:28:10 2025 A3: -4
  14. Fri Oct 24 11:28:10 2025 A4: 1
  15. Fri Oct 24 11:28:10 2025 A5: 1
  16. Fri Oct 24 11:28:10 2025 skew 1.00, size 8.165e-16, alpha 2.379, combined = 8.210e-13 rroots = 5
  17. Fri Oct 24 11:28:10 2025
  18. Fri Oct 24 11:28:10 2025 commencing relation filtering
  19. Fri Oct 24 11:28:10 2025 setting target matrix density to 112.0
  20. Fri Oct 24 11:28:10 2025 estimated available RAM is 15938.6 MB
  21. Fri Oct 24 11:28:10 2025 commencing duplicate removal, pass 1
  22. Fri Oct 24 11:46:25 2025 error -15 reading relation 85785449
  23. Fri Oct 24 11:58:23 2025 skipped 56 relations with b > 2^32
  24. Fri Oct 24 11:58:23 2025 found 4756496 hash collisions in 146165816 relations
  25. Fri Oct 24 11:58:37 2025 added 2926300 free relations
  26. Fri Oct 24 11:58:37 2025 commencing duplicate removal, pass 2
  27. Fri Oct 24 12:00:31 2025 found 0 duplicates and 149092116 unique relations
  28. Fri Oct 24 12:00:31 2025 memory use: 389.2 MB
  29. Fri Oct 24 12:00:31 2025 reading ideals above 88014848
  30. Fri Oct 24 12:00:31 2025 commencing singleton removal, initial pass
  31. Fri Oct 24 12:27:55 2025 memory use: 3012.0 MB
  32. Fri Oct 24 12:27:56 2025 reading all ideals from disk
  33. Fri Oct 24 12:28:03 2025 memory use: 2710.6 MB
  34. Fri Oct 24 12:28:33 2025 commencing in-memory singleton removal
  35. Fri Oct 24 12:29:03 2025 begin with 149092116 relations and 116806307 unique ideals
  36. Fri Oct 24 12:33:45 2025 reduce to 104077199 relations and 67927427 ideals in 12 passes
  37. Fri Oct 24 12:33:45 2025 max relations containing the same ideal: 33
  38. Fri Oct 24 12:34:10 2025 reading ideals above 720000
  39. Fri Oct 24 12:34:10 2025 commencing singleton removal, initial pass
  40. Fri Oct 24 13:06:16 2025 memory use: 1506.0 MB
  41. Fri Oct 24 13:06:17 2025 reading all ideals from disk
  42. Fri Oct 24 13:06:29 2025 memory use: 3963.6 MB
  43. Fri Oct 24 13:07:16 2025 keeping 77628197 ideals with weight <= 200, target excess is 516738
  44. Fri Oct 24 13:08:05 2025 commencing in-memory singleton removal
  45. Fri Oct 24 13:08:42 2025 begin with 104077199 relations and 77628197 unique ideals
  46. Fri Oct 24 13:11:22 2025 reduce to 104077010 relations and 77628008 ideals in 4 passes
  47. Fri Oct 24 13:11:22 2025 max relations containing the same ideal: 200
  48. Fri Oct 24 13:14:32 2025 removing 8286392 relations and 6286392 ideals in 2000000 cliques
  49. Fri Oct 24 13:14:38 2025 commencing in-memory singleton removal
  50. Fri Oct 24 13:15:13 2025 begin with 95790618 relations and 77628008 unique ideals
  51. Fri Oct 24 13:19:30 2025 reduce to 95249812 relations and 70787522 ideals in 7 passes
  52. Fri Oct 24 13:19:30 2025 max relations containing the same ideal: 197
  53. Fri Oct 24 13:22:12 2025 removing 6565944 relations and 4565944 ideals in 2000000 cliques
  54. Fri Oct 24 13:22:18 2025 commencing in-memory singleton removal
  55. Fri Oct 24 13:22:50 2025 begin with 88683868 relations and 70787522 unique ideals
  56. Fri Oct 24 13:26:46 2025 reduce to 88313708 relations and 65843184 ideals in 7 passes
  57. Fri Oct 24 13:26:46 2025 max relations containing the same ideal: 190
  58. Fri Oct 24 13:29:22 2025 removing 6098759 relations and 4098759 ideals in 2000000 cliques
  59. Fri Oct 24 13:29:28 2025 commencing in-memory singleton removal
  60. Fri Oct 24 13:29:58 2025 begin with 82214949 relations and 65843184 unique ideals
  61. Fri Oct 24 13:33:07 2025 reduce to 81888110 relations and 61410356 ideals in 6 passes
  62. Fri Oct 24 13:33:07 2025 max relations containing the same ideal: 182
  63. Fri Oct 24 13:35:28 2025 removing 5863701 relations and 3863701 ideals in 2000000 cliques
  64. Fri Oct 24 13:35:33 2025 commencing in-memory singleton removal
  65. Fri Oct 24 13:36:01 2025 begin with 76024409 relations and 61410356 unique ideals
  66. Fri Oct 24 13:38:42 2025 reduce to 75712413 relations and 57227396 ideals in 6 passes
  67. Fri Oct 24 13:38:42 2025 max relations containing the same ideal: 173
  68. Fri Oct 24 13:40:51 2025 removing 5716882 relations and 3716882 ideals in 2000000 cliques
  69. Fri Oct 24 13:40:56 2025 commencing in-memory singleton removal
  70. Fri Oct 24 13:41:19 2025 begin with 69995531 relations and 57227396 unique ideals
  71. Fri Oct 24 13:44:08 2025 reduce to 69686172 relations and 53193560 ideals in 7 passes
  72. Fri Oct 24 13:44:08 2025 max relations containing the same ideal: 165
  73. Fri Oct 24 13:46:09 2025 removing 5626785 relations and 3626785 ideals in 2000000 cliques
  74. Fri Oct 24 13:46:14 2025 commencing in-memory singleton removal
  75. Fri Oct 24 13:46:36 2025 begin with 64059387 relations and 53193560 unique ideals
  76. Fri Oct 24 13:48:51 2025 reduce to 63740824 relations and 49240166 ideals in 6 passes
  77. Fri Oct 24 13:48:51 2025 max relations containing the same ideal: 159
  78. Fri Oct 24 13:50:41 2025 removing 5571804 relations and 3571804 ideals in 2000000 cliques
  79. Fri Oct 24 13:50:46 2025 commencing in-memory singleton removal
  80. Fri Oct 24 13:51:05 2025 begin with 58169020 relations and 49240166 unique ideals
  81. Fri Oct 24 13:53:24 2025 reduce to 57832555 relations and 45322513 ideals in 7 passes
  82. Fri Oct 24 13:53:24 2025 max relations containing the same ideal: 146
  83. Fri Oct 24 13:55:04 2025 removing 5543796 relations and 3543796 ideals in 2000000 cliques
  84. Fri Oct 24 13:55:10 2025 commencing in-memory singleton removal
  85. Fri Oct 24 13:55:24 2025 begin with 52288759 relations and 45322513 unique ideals
  86. Fri Oct 24 13:57:08 2025 reduce to 51925612 relations and 41404334 ideals in 6 passes
  87. Fri Oct 24 13:57:08 2025 max relations containing the same ideal: 140
  88. Fri Oct 24 13:58:34 2025 removing 5547240 relations and 3547240 ideals in 2000000 cliques
  89. Fri Oct 24 13:58:39 2025 commencing in-memory singleton removal
  90. Fri Oct 24 13:58:53 2025 begin with 46378372 relations and 41404334 unique ideals
  91. Fri Oct 24 14:00:37 2025 reduce to 45974350 relations and 37439536 ideals in 7 passes
  92. Fri Oct 24 14:00:37 2025 max relations containing the same ideal: 129
  93. Fri Oct 24 14:01:54 2025 removing 5573378 relations and 3573378 ideals in 2000000 cliques
  94. Fri Oct 24 14:01:59 2025 commencing in-memory singleton removal
  95. Fri Oct 24 14:02:12 2025 begin with 40400972 relations and 37439536 unique ideals
  96. Fri Oct 24 14:03:35 2025 reduce to 39939280 relations and 33387184 ideals in 7 passes
  97. Fri Oct 24 14:03:35 2025 max relations containing the same ideal: 113
  98. Fri Oct 24 14:04:44 2025 removing 5621339 relations and 3621339 ideals in 2000000 cliques
  99. Fri Oct 24 14:04:48 2025 commencing in-memory singleton removal
  100. Fri Oct 24 14:04:57 2025 begin with 34317941 relations and 33387184 unique ideals
  101. Fri Oct 24 14:06:09 2025 reduce to 33776271 relations and 29201240 ideals in 7 passes
  102. Fri Oct 24 14:06:09 2025 max relations containing the same ideal: 101
  103. Fri Oct 24 14:07:08 2025 removing 5700831 relations and 3700831 ideals in 2000000 cliques
  104. Fri Oct 24 14:07:12 2025 commencing in-memory singleton removal
  105. Fri Oct 24 14:07:19 2025 begin with 28075440 relations and 29201240 unique ideals
  106. Fri Oct 24 14:08:22 2025 reduce to 27414117 relations and 24805405 ideals in 8 passes
  107. Fri Oct 24 14:08:22 2025 max relations containing the same ideal: 90
  108. Fri Oct 24 14:09:07 2025 removing 5798932 relations and 3798932 ideals in 2000000 cliques
  109. Fri Oct 24 14:09:11 2025 commencing in-memory singleton removal
  110. Fri Oct 24 14:09:17 2025 begin with 21615185 relations and 24805405 unique ideals
  111. Fri Oct 24 14:10:05 2025 reduce to 20759507 relations and 20095962 ideals in 8 passes
  112. Fri Oct 24 14:10:05 2025 max relations containing the same ideal: 72
  113. Fri Oct 24 14:10:37 2025 removing 376803 relations and 312675 ideals in 64128 cliques
  114. Fri Oct 24 14:10:39 2025 commencing in-memory singleton removal
  115. Fri Oct 24 14:10:45 2025 begin with 20382704 relations and 20095962 unique ideals
  116. Fri Oct 24 14:11:19 2025 reduce to 20376807 relations and 19777362 ideals in 6 passes
  117. Fri Oct 24 14:11:19 2025 max relations containing the same ideal: 72
  118. Fri Oct 24 14:11:28 2025 relations with 0 large ideals: 41659
  119. Fri Oct 24 14:11:28 2025 relations with 1 large ideals: 8118
  120. Fri Oct 24 14:11:28 2025 relations with 2 large ideals: 99910
  121. Fri Oct 24 14:11:28 2025 relations with 3 large ideals: 632676
  122. Fri Oct 24 14:11:28 2025 relations with 4 large ideals: 2154066
  123. Fri Oct 24 14:11:28 2025 relations with 5 large ideals: 4331591
  124. Fri Oct 24 14:11:28 2025 relations with 6 large ideals: 6102230
  125. Fri Oct 24 14:11:28 2025 relations with 7+ large ideals: 7006557
  126. Fri Oct 24 14:11:28 2025 commencing 2-way merge
  127. Fri Oct 24 14:12:07 2025 reduce to 13634784 relation sets and 13035339 unique ideals
  128. Fri Oct 24 14:12:07 2025 commencing full merge
  129. Fri Oct 24 14:28:27 2025 memory use: 1753.9 MB
  130. Fri Oct 24 14:28:31 2025 found 6194722 cycles, need 6179539
  131. Fri Oct 24 14:28:35 2025 weight of 6179539 cycles is about 692419917 (112.05/cycle)
  132. Fri Oct 24 14:28:35 2025 distribution of cycle lengths:
  133. Fri Oct 24 14:28:35 2025 1 relations: 280353
  134. Fri Oct 24 14:28:35 2025 2 relations: 375448
  135. Fri Oct 24 14:28:35 2025 3 relations: 436993
  136. Fri Oct 24 14:28:35 2025 4 relations: 452822
  137. Fri Oct 24 14:28:35 2025 5 relations: 465417
  138. Fri Oct 24 14:28:35 2025 6 relations: 460667
  139. Fri Oct 24 14:28:35 2025 7 relations: 449022
  140. Fri Oct 24 14:28:35 2025 8 relations: 425213
  141. Fri Oct 24 14:28:35 2025 9 relations: 395784
  142. Fri Oct 24 14:28:35 2025 10+ relations: 2437820
  143. Fri Oct 24 14:28:35 2025 heaviest cycle: 28 relations
  144. Fri Oct 24 14:28:38 2025 commencing cycle optimization
  145. Fri Oct 24 14:29:23 2025 start with 54997069 relations
  146. Fri Oct 24 14:35:10 2025 pruned 2680321 relations
  147. Fri Oct 24 14:35:10 2025 memory use: 1411.1 MB
  148. Fri Oct 24 14:35:10 2025 distribution of cycle lengths:
  149. Fri Oct 24 14:35:10 2025 1 relations: 280353
  150. Fri Oct 24 14:35:10 2025 2 relations: 383646
  151. Fri Oct 24 14:35:10 2025 3 relations: 454699
  152. Fri Oct 24 14:35:10 2025 4 relations: 472085
  153. Fri Oct 24 14:35:10 2025 5 relations: 490006
  154. Fri Oct 24 14:35:10 2025 6 relations: 485271
  155. Fri Oct 24 14:35:10 2025 7 relations: 474651
  156. Fri Oct 24 14:35:10 2025 8 relations: 446964
  157. Fri Oct 24 14:35:10 2025 9 relations: 415849
  158. Fri Oct 24 14:35:10 2025 10+ relations: 2276015
  159. Fri Oct 24 14:35:10 2025 heaviest cycle: 28 relations
  160. Fri Oct 24 14:35:40 2025 RelProcTime: 11250
  161. Fri Oct 24 14:35:40 2025
  162. Fri Oct 24 14:35:40 2025 commencing linear algebra
  163. Fri Oct 24 14:35:40 2025 using VBITS=512
  164. Fri Oct 24 14:35:42 2025 read 6179539 cycles
  165. Fri Oct 24 14:36:19 2025 cycles contain 20062810 unique relations
  166. Fri Oct 24 14:39:51 2025 read 20062810 relations
  167. Fri Oct 24 14:41:36 2025 using 20 quadratic characters above 4294917295
  168. Fri Oct 24 14:43:44 2025 building initial matrix
  169. Fri Oct 24 15:00:30 2025 memory use: 2500.6 MB
  170. Fri Oct 24 15:00:42 2025 read 6179539 cycles
  171. Fri Oct 24 15:00:44 2025 matrix is 6179362 x 6179539 (2726.7 MB) with weight 778586510 (125.99/col)
  172. Fri Oct 24 15:00:44 2025 sparse part has weight 646815987 (104.67/col)
  173. Fri Oct 24 15:04:30 2025 filtering completed in 2 passes
  174. Fri Oct 24 15:04:33 2025 matrix is 6179229 x 6179368 (2726.7 MB) with weight 778581707 (126.00/col)
  175. Fri Oct 24 15:04:33 2025 sparse part has weight 646814433 (104.67/col)
  176. Fri Oct 24 15:05:29 2025 matrix starts at (0, 0)
  177. Fri Oct 24 15:05:31 2025 matrix is 6179229 x 6179368 (2726.7 MB) with weight 778581707 (126.00/col)
  178. Fri Oct 24 15:05:31 2025 sparse part has weight 646814433 (104.67/col)
  179. Fri Oct 24 15:05:31 2025 saving the first 496 matrix rows for later
  180. Fri Oct 24 15:05:36 2025 matrix includes 512 packed rows
  181. Fri Oct 24 15:05:46 2025 matrix is 6178733 x 6179368 (2575.4 MB) with weight 557116669 (90.16/col)
  182. Fri Oct 24 15:05:46 2025 sparse part has weight 526825363 (85.26/col)
  183. Fri Oct 24 15:43:02 2025
  184. Fri Oct 24 15:43:02 2025
  185. Fri Oct 24 15:43:02 2025 Msieve v. 1.54 (SVN unknown)
  186. Fri Oct 24 15:43:02 2025 random seeds: 038472ae e5d36b17
  187. Fri Oct 24 15:43:02 2025 factoring 4752208103460581129180794016983942875762508924831970142702975348169614319473131722586702767655555564840678146641526139662450502637984740245465365390827544155766182579687932457332203411722058923261760397277859892889 (214 digits)
  188. Fri Oct 24 15:43:03 2025 no P-1/P+1/ECM available, skipping
  189. Fri Oct 24 15:43:03 2025 commencing number field sieve (214-digit input)
  190. Fri Oct 24 15:43:03 2025 R0: 30241625879631323162875622209103440379840045402
  191. Fri Oct 24 15:43:03 2025 R1: -173901195739509862528549
  192. Fri Oct 24 15:43:03 2025 A0: 1
  193. Fri Oct 24 15:43:03 2025 A1: 3
  194. Fri Oct 24 15:43:03 2025 A2: -3
  195. Fri Oct 24 15:43:03 2025 A3: -4
  196. Fri Oct 24 15:43:03 2025 A4: 1
  197. Fri Oct 24 15:43:03 2025 A5: 1
  198. Fri Oct 24 15:43:03 2025 skew 1.00, size 8.165e-16, alpha 2.379, combined = 8.210e-13 rroots = 5
  199. Fri Oct 24 15:43:03 2025
  200. Fri Oct 24 15:43:03 2025 commencing linear algebra
  201. Fri Oct 24 15:43:03 2025 using VBITS=512
  202. Fri Oct 24 15:43:03 2025 skipping matrix build
  203. Fri Oct 24 15:43:04 2025 matrix starts at (0, 0)
  204. Fri Oct 24 15:43:05 2025 matrix is 6179229 x 6179368 (2726.7 MB) with weight 778581707 (126.00/col)
  205. Fri Oct 24 15:43:05 2025 sparse part has weight 646814433 (104.67/col)
  206. Fri Oct 24 15:43:05 2025 saving the first 496 matrix rows for later
  207. Fri Oct 24 15:43:07 2025 matrix includes 512 packed rows
  208. Fri Oct 24 15:43:10 2025 matrix is 6178733 x 6179368 (2575.4 MB) with weight 557116669 (90.16/col)
  209. Fri Oct 24 15:43:10 2025 sparse part has weight 526825363 (85.26/col)
  210. Fri Oct 24 15:43:10 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  211. Fri Oct 24 15:43:10 2025 selected card has CUDA arch 8.6
  212. Fri Oct 24 15:43:44 2025 commencing Lanczos iteration
  213. Fri Oct 24 15:43:44 2025 memory use: 7130.9 MB
  214. Fri Oct 24 15:44:07 2025 linear algebra at 0.2%, ETA 2h27m
  215. Fri Oct 24 15:44:08 2025 checkpointing every 2480000 dimensions
  216. Fri Oct 24 18:27:00 2025 lanczos halted after 12087 iterations (dim = 6178730)
  217. Fri Oct 24 18:28:30 2025 recovered 31 nontrivial dependencies
  218. Fri Oct 24 18:28:30 2025 BLanczosTime: 9927
  219. Fri Oct 24 18:28:30 2025 elapsed time 02:45:28
  220. Fri Oct 24 18:28:41 2025
  221. Fri Oct 24 18:28:41 2025
  222. Fri Oct 24 18:28:41 2025 Msieve v. 1.54 (SVN unknown)
  223. Fri Oct 24 18:28:41 2025 random seeds: 57b0c65e 630d80dc
  224. Fri Oct 24 18:28:41 2025 factoring 4752208103460581129180794016983942875762508924831970142702975348169614319473131722586702767655555564840678146641526139662450502637984740245465365390827544155766182579687932457332203411722058923261760397277859892889 (214 digits)
  225. Fri Oct 24 18:28:41 2025 no P-1/P+1/ECM available, skipping
  226. Fri Oct 24 18:28:41 2025 commencing number field sieve (214-digit input)
  227. Fri Oct 24 18:28:41 2025 R0: 30241625879631323162875622209103440379840045402
  228. Fri Oct 24 18:28:41 2025 R1: -173901195739509862528549
  229. Fri Oct 24 18:28:41 2025 A0: 1
  230. Fri Oct 24 18:28:41 2025 A1: 3
  231. Fri Oct 24 18:28:41 2025 A2: -3
  232. Fri Oct 24 18:28:41 2025 A3: -4
  233. Fri Oct 24 18:28:41 2025 A4: 1
  234. Fri Oct 24 18:28:41 2025 A5: 1
  235. Fri Oct 24 18:28:41 2025 skew 1.00, size 8.165e-16, alpha 2.379, combined = 8.210e-13 rroots = 5
  236. Fri Oct 24 18:28:41 2025
  237. Fri Oct 24 18:28:41 2025 commencing square root phase
  238. Fri Oct 24 18:28:41 2025 reading relations for dependency 1
  239. Fri Oct 24 18:28:42 2025 read 3092054 cycles
  240. Fri Oct 24 18:28:47 2025 cycles contain 10034402 unique relations
  241. Fri Oct 24 18:29:37 2025 read 10034402 relations
  242. Fri Oct 24 18:30:13 2025 multiplying 10034402 relations
  243. Fri Oct 24 18:33:24 2025 multiply complete, coefficients have about 248.63 million bits
  244. Fri Oct 24 18:33:25 2025 initial square root is modulo 836532469
  245. Fri Oct 24 18:37:18 2025 sqrtTime: 517
  246. Fri Oct 24 18:37:18 2025 p63 factor: 249169329601220063202472851960976264892312846288861444802826427
  247. Fri Oct 24 18:37:18 2025 p152 factor: 19072203272634690412466278630246903858669010137956093046929149336034972670305409323239641754934017072296057365864908299295338044761134363621710433067707
  248. Fri Oct 24 18:37:18 2025 elapsed time 00:08:37
  249.  
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